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To analyze: the graph of given function
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Answer to Problem 41AYU
Explanation of Solution
Given:
Calculation:
STEP 1: Rewrite the function as
Now, factor the function
The domain of
Since
STEP 2: The function
Determine the behavior of the graph near the
Plot the point
STEP 3:
STEP 4: Degree of the numerator is greater than the degree of the denominator. So, the rational function is improper. To find any horizontal or oblique asymptote, we use the long division.
The quotient is
STEP 5: The numerator has one zero at
Now, construct the table.
Interval Number chosen Value of f Location of graph Point on graph |
Plot the points from the table obtained.
STEP 6: Since the graph of
STEP 7: The figure shows the final graph.
Conclusion:
Thus, the graph of
Chapter 4 Solutions
Precalculus
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